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Damping and frequency of twin-cables with a cross-link and a viscous damper

  • Zhou, H.J. (Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University) ;
  • Yang, X. (Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University) ;
  • Peng, Y.R. (Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University) ;
  • Zhou, R. (Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University) ;
  • Sun, L.M. (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Xing, F. (Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University)
  • 투고 : 2018.08.25
  • 심사 : 2019.01.25
  • 발행 : 2019.06.25

초록

Vibration mitigation of cables or hangers is one of the crucial problems for cable supported bridges. Previous research focused on the behaviors of cable with dampers or crossties, which could help engineering community apply these mitigation devices more efficiently. However, less studies are available for hybrid applied cross-ties and dampers, especially lack of both analytical and experimental verifications. This paper studied damping and frequency of two parallel identical cables with a connection cross-tie and an attached damper. The characteristic equation of system was derived based on transfer matrix method. The complex characteristic equation was numerically solved to find the solutions. Effects of non-dimensional spring stiffness and location on the maximum cable damping, the corresponding optimum damper constant and the corresponding frequency of lower vibration mode were further addressed. System with twin small-scale cables with a cross-link and a viscous damper were tested. The damping and frequency from the test were very close to the analytical ones. The two branches of solutions: in-phase modes and the out-of-phase modes, were identified; and the two branches of solutions were different for damping and frequency behaviors.

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과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, Ministry of Science and Technology

참고문헌

  1. Ahmad, J. and Cheng, S.H. (2011), "Analytical study on in-phase modal properties of a general cable network", Proceedings of the 9th International Symposium on Cable Dynamics, Shanghai, China, October.
  2. Ahmad, J., Cheng, S.H. and Ghrib F. (2016), "Effect of the number of cross-tie lines on the in-plane stiffness and modal behavior classification of orthogonal cable networks with multiple lines of transverse flexible cross-ties", J. Eng. Mech. - ASCE, 142(4), 04015106. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001008.
  3. Bosch, H.R. and Park, S.W. (2005), "Effectiveness of external dampers and cross ties in mitigation of stay cable vibrations", Proceedings of the 6th International Symposium on Cable Dynamics, Charleston, USA, September.
  4. Caracoglia, L. and Jones, N.P. (2005), "In-phase dynamic behavior of cable networks. Part I: formulation and basic solutions", J. Sound Vib., 279(3-5), 969-991. https://doi.org/10.1016/j.jsv.2003.11.058.
  5. Caracoglia, L. and Jones, N.P. (2007), "Passive hybrid technique for the vibration mitigation of systems of interconnected stays", J. Sound Vib., 307(3-5), 849-864. https://doi.org/10.1016/j.jsv.2007.07.022.
  6. Caracoglia, L. and Zuo, D.L. (2009), "Effective of cable networks of various configurations in suppressing stay-cable vibration", Eng. Struct., 31(12), 2851-2864. https://doi.org/10.1016/j.engstruct.2009.07.012.
  7. Chen, Z.Q., Wang, X.Y., Ko, J.M., Ni, Y.Q., Spencer, B.F., Jr., Yang, G. and Hu, J.H. (2004), "MR damping system for mitigating wind-rain induced vibration on Dongting Lake Cable-Stayed Bridge", Wind Struct., 7(4), 293-304. http://dx.doi.org/10.12989/was.2004.7.5.293.
  8. Christenson, R.E., Spencer, B.F., Jr. and Johnson, E.A. (2006), "Experimental verification of smart cable damping", J. Eng. Mech. -ASCE, 132(3), 268-278. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:3(268).
  9. Duan Y.F., Ni Y.Q., H.M. Zhang, Spencer B.F., Jr. and Ko J.M. (2019a), "Design formulas for vibration control of taut cables using passive MR dampers", Smart Struct. Syst., Accepted.
  10. Duan Y.F., Ni Y.Q., H.M. Zhang, Spencer B.F., Jr., and Ko J.M. (2019b), "Design formulas for vibration control of sagged cables using passive MR dampers", Smart Struct. Syst., Accepted.
  11. Duan, Y.F., Ni, Y.Q. and Ko, J.M. (2005), "State-derivative feedback control of cable vibration using semi-active MR dampers", Comput. -Aided Civil Infrastruct. Eng., 20(6), 431-449. https://doi.org/10.1111/j.1467-8667.2005.00396.x.
  12. Duan, Y.F., Ni, Y.Q. and Ko, J.M. (2006), "Cable vibration control using magnetorheological dampers", J. Intel. Mat. Syst. Str., 17(4), 321-325. https://doi.org/10.1177/1045389X06054997
  13. Fujino, Y. and Hoang, N. (2008), "Design formulas for damping of a stay cable with a damper", J. Struct. Eng. - ASCE, 134(2), 269-278. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:2(269).
  14. Gu, M. and Du, X.Q. (2005), "Testing investigation for rain-wind induced vibration and its mitigation", J. Wind Eng. Ind. Aerod., 93(1), 79-95. https://doi.org/10.1016/j.jweia.2004.09.003
  15. Gjelstrup, H., Georgikis, C. and Larsen, A. (2007), "A preliminary investigation of the hanger vibrations on the great belt east bridge", Proceedings of the 7th International Symposium on Cable Dynamics, Vienna, Austria, December.
  16. Hikami, Y. and Shiraishi, N. (1988), "Rain-wind induced vibration of cables in cable stayed bridges", J. Wind Eng. Ind. Aerod., 29(3), 409-418. https://doi.org/10.1016/0167-6105(88)90179-1
  17. Huang, L. (2011), "Experimental study on bridge stay cable vibration mitigation using external viscous damper", Master Thesis, University of Windsor, Windsor.
  18. Irvine H.M. (1981), Cable Structures. MIT Press, Cambridge, Massachusetts, 1981.
  19. Krenk, S. (2000), "Vibration of a taut cable with an external damper", J. Appl. Mech., 67(4), 772-776. doi:10.1115/1.1322037.
  20. Krenk, S. and Hogsberg, J.R. (2005), "Damping of cables by a transverse force", J. Eng. Mech. - ASCE, 131(4), 340-348. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:4(340).
  21. Lu, L., Duan, Y.F., Spencer, B.F. Jr., Lu, X.L. and Zhou, Y. (2017), "Inertial mass damper for mitigating cable vibration", Struct. Control Health Monit., e1986, https://doi.org/10.1002/stc.1986.
  22. Main, J.A. and Jones, N.P. (2001), "Evaluation of viscous dampers for stay-cable vibration mitigation", J. Bridge Eng. - ASCE, 6(6), 385-397. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(385).
  23. Main J.A. and Jones, N.P. (2002), "Free vibration of taut cable with attached damper, I: linear viscous damper", J. Eng. Mech.-ASCE, 128(10), 1062-1071. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1062).
  24. Or, S.W., Duan, Y.F., Ni, Y.Q., Chen, Z.H. and Lam, K.H. (2008). "Development of Magnetorheological dampers with embedded piezoelectric force sensors for structural vibration control", J. Intel. Mat. Syst. Str., 19(11), 1327-1338. https://doi.org/10.1177/1045389X07085673.
  25. Pacheco, B.M., Fujino, Y. and Sulekh, A. (1993), "Estimation curve for modal damping in stay cables with viscous damper", J. Struct. Eng. -ASCE, 119(6), 1961-1979. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1961).
  26. Shi, X., Zhu, S.Y., Li, J.Y. and Spencer, B.F. Jr. (2016), "Dynamic behavior of stay cables wth passive negative stiffness dampers", Smart Mater. Struct., 25(7), 964-1726.
  27. Sun, L.M., Shi, C., Zhou, H.J. and Cheng, W. (2004), "A full-scale experiment on vibration mitigation of stay cable", IABSE Symposium Report, 88(6), 31-36.
  28. Sun, L.M., Shi, C., Zhou, H.J. and Zhou, Y.G. (2005), "Vibration mitigation of long stay cable using dampers and cross-ties", Proceedings of the 6th International Symposium on Cable Dynamics, Charleston, SC, USA, September.
  29. Sun, L.M., Zhou, Y.G. and Huang, H.W. (2007), "Experiment and damping evaluation on stay cables connected by cross ties", Proceedings of the 7th International Symposium on Cable Dynamics, Vienna, Austria, December.
  30. Warnitchai, P. (1990), Nonlinear vibration and active control of cable-stayed bridges. PhD Thesis, University of Tokyo, Tokyo, Japan, 1990.
  31. Wang, X.Y., Ni, Y.Q., Ko, J.M. and Chen, Z.Q. (2005), "Optimal design of viscous dampers for multi-mode vibration control of bridge cables", Eng. Struct., 27(5), 792-800. https://doi.org/10.1016/j.engstruct.2004.12.013.
  32. Xu, Y.L., Chen, J., Ng, C.L. and Zhou, H.J. (2008), "Occurrence probability of wind-rain-induced stay cable vibration", Adv. Struct. Eng., 11(1), 53-69. https://doi.org/10.1260/136943308784069487.
  33. Yamaguchi, H. and Nagahawatta, H.D. (1995), "Damping effects of cable cross ties in cable-stayed bridges", J. Wind Eng. Ind. Aerod., 54-55, 35-43. https://doi.org/10.1016/0167-6105(94)00027-B.
  34. Zhan, S., Xu, Y.L. and Zhou, H.J. (2008), "Experimental study of wind-rain-induced cable vibration using a new model setup scheme", J. Wind Eng. Ind. Aerod., 96(12), 2348-2451. https://doi.org/10.1016/j.jweia.2008.03.011.
  35. Zhou, H.J., Huang X.J., Xiang N., He J.W., Sun, L.M. and Xing, F. (2018a), "Free vibration of a taut cable with a damper and a concentrated mass", Struct. Control Health Monit., 25(11), 1-21. https://doi.org/10.1002/stc.2251.
  36. Zhou, H.J., Qi, S.K., Yao, G.Z., Zhou, L.B., Sun, L.M. and Xing, F. (2018b), "Damping and frequency of a model cable attached with a pre-tensioned shape memory alloy wire: experiment and analysis", Struct. Control Health Monit., 25(2), 1-19. https://doi.org/10.1002/stc.2106.
  37. Zhou, H.J. and Sun, L.M. (2008), "Parameter optimization of damper with stiffness for stay cable", Chinese Quarterly of Mechanics, 29(1), 180-185. (In Chinese)
  38. Zhou, H.J. and Sun, L.M. (2013), "Damping of stay cable with passive-on magnetorheological dampers: a full-scale test", Int. J. Civil Eng., 11(3), 154-159.
  39. Zhou, H.J., Sun, L.M. and Xing, F. (2014a), "Free vibration of taut cable with a damper and spring", Struct. Control Health Monit., 21(6), 996-1014. https://doi.org/10.1002/stc.1628.
  40. Zhou, H.J., Sun, L.M. and Xing, F. (2014b), "Damping of fullscale stay cable with viscous damper: experiment and analysis", Adv. Struct. Eng., 17(2), 265-274. https://doi.org/10.1260/1369-4332.17.2.265.
  41. Zhou, H.J., Sun, L.M. and Shi, C. (2006), "A full-scale experimental study on cable vibration mitigation with friction damper", J. Tongji University, 34(7), 864-868. (In Chinese) https://doi.org/10.3321/j.issn:0253-374X.2006.07.003
  42. Zhou, H.J., Xiang N., Huang X.J., Sun, L.M., Xing, F. and Zhou R. (2018c), "Full-scale test of dampers for stay cable vibration mitigation and improvement measures", Struct. Monit. Maint., 5(4), 489-506. https://doi.org/10.12989/smm.2018.5.4.489.
  43. Zhou, H.J., Yang, X., Sun, L.M. and Xing, F. (2015), "Free vibrations of a two-cable network with near-support dampers and a cross-link", Struct. Control Health Monit., 22(9), 1173-1192. https://doi.org/10.1002/stc.1738.
  44. Zhou, H.J., Wu, Y.H., Li, L.X., Sun, L.M. and Xing, F. (2019), "Free vibrations of a two-cable network inter-supported by cross-links extended to ground", Smart Struct. Syst., Accepted.
  45. Zhou, P. and Li, H. (2016), "Modeling and control performance of a negative stiffness damper for suppressing stay cable vibrations", Struct. Control Health Monit., 23(4), 764-782. https://doi.org/10.1002/stc.1809.

피인용 문헌

  1. Effect of bending stiffness on the in-plane free vibration characteristics of a cable network vol.34, pp.11, 2020, https://doi.org/10.1007/s12206-020-1006-6